LEADER 03277oam  2200469   450 
001 9910299965203321
005 20190911103512.0
010   $a1-4614-9323-4
024 7 $a10.1007/978-1-4614-9323-5
035   $a(OCoLC)867650833
035   $a(MiFhGG)GVRL6WXA
035   $a(EXLCZ)993710000000073701
100   $a20131112d2014      uy             0
101 0 $aeng
135   $aurun|---uuuua
181   $ctxt
182   $cc
183   $acr
200 10$aTopological and variational methods with applications to nonlinear boundary value problems /$fDumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
205   $a1st ed. 2014.
210  1$aNew York :$cSpringer,$d2014.
215   $a1 online resource (xi, 459 pages)
225 0 $aGale eBooks
300   $aDescription based upon print version of record.
311   $a1-4614-9322-6 
320   $aIncludes bibliographical references and index.
327   $a Preface -- Introduction -- Sobolev Spaces -- Nonlinear Operators -- Nonsmooth Analysis -- Degree Theory -- Variational Principles and Critical Point Theory -- Morse Theory -- Bifurcation Theory -- Regularity Theorems and Maximum Principles -- Spectrum of Differential Operators -- Ordinary Differential Equations -- Nonlinear Elliptic Equations with Dirichlet Boundary Conditions -- Nonlinear Elliptic Equations with Neumann Boundary Conditions -- List of Symbols -- References.- Index .
330   $aThis book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operator appears for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.
606   $aNonlinear boundary value problems
606   $aBoundary value problems
615  0$aNonlinear boundary value problems.
615  0$aBoundary value problems.
676   $a515.35
700   $aMotreanu$b Dumitru$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721718
702   $aMotreanu$b Viorica Venera
702   $aPapageorgiou$b Nikolaos Socrates
801  0$bMiFhGG
801  1$bMiFhGG
906   $aBOOK
912   $a9910299965203321
996   $aTopological and Variational Methods with Applications to Nonlinear Boundary Value Problems$92495546
997   $aUNINA